Handbook of the History of General Topology
C.E. Aull, R. Lowen
Springer Science & Business Media, Mar 31, 1997 - Mathematics - 397 pages
This account of the History of General Topology has grown out of the special session on this topic at the American Mathematical Society meeting in San Anto≠ nio, Texas, 1993. It was there that the idea grew to publish a book on the historical development of General Topology. Moreover it was felt that it was important to undertake this project while topologists who knew some of the early researchers were still active. Since the first paper by Frechet, "Generalisation d'un theoreme de Weier≠ strass", C.R. Acad. Sci. 139, 1904, 848-849, and Hausdorff's classic book, "Grundziige der Mengenlehre", Leipzig, 1914, there have been numerous de≠ velopments in a multitude of directions and there have been many interactions with a great number of other mathematical fields. We have tried to cover as many of these as possible. Most contributions concern either individual topologists, specific schools, specific periods, specific topics or a combination of these.
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Acad Amer analysis appeared axioms Banach spaces base BROUWER called characterized closed compact compact spaces compactification completely concept concerning condition connected considered consists construction contains continuous functions continuous maps continuum convergence countable cover curve defined definition dimension theory discussed equivalent example exists extension fact finite Foundations functions Fund further given Haus Hausdorff Herrlich History homeomorphic ideas important interesting introduced Japan Jones later limit locally Math mathematics means mentioned metric spaces Moore natural normal notion obtained paracompact particular plane present problem Proc proof proved published question realcompact References reflective reflective subcategories remarkable respect Riesz rings satisfying separable sequence sequential showed simple space X structure subcategories subset subspaces theorem topological spaces topology Tychonoff uniform University
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